Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	53×	body	1280	valid
3.0ms	42×	body	640	valid
3.0ms	135×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 28.9b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
9.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series406.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(cbrt (+ x 1.0))
171.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify54.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	430	1315
1	1394	1045
2	5001	981

prune219.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	97	11	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	11	109

Merged error: 18.3b

Counts

109 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
8.3b	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
7.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series953.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
173.0ms	(cbrt x)
456.0ms	(cbrt (* (cbrt x) (cbrt x)))
148.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify112.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	311	707
1	904	622
2	3506	606
3	5001	605

prune225.0ms

Filtered

77 candidates to 65 candidates (84.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	76	12	88

Merged error: 18.1b

Counts

88 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
2.7b	(- (+ x 1.0) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
9×	`add-log-exp`
5×	`cbrt-prod` `distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
7.0ms	(- (+ x 1.0) x)

series713.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
262.0ms	(cbrt (* (cbrt x) (cbrt x)))
271.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(- (+ x 1.0) x)

simplify154.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	200	423
1	686	296
2	4786	260
3	5001	251

prune249.0ms

Filtered

82 candidates to 63 candidates (76.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0.6b

Counts

94 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
178.0ms	(cbrt x)
271.0ms	(cbrt (* (cbrt x) (cbrt x)))
264.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	82	232
1	172	208
2	563	196
3	2341	196
4	5002	194

prune231.0ms

Filtered

60 candidates to 56 candidates (93.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	46	14	60
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	47	16	63

Merged error: 0.2b

Counts

63 → 16

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	23
1	16	23

end0.0ms

sample482.0ms

Algorithm

intervals

Results

167.0ms	1717×	body	1280	valid
95.0ms	1271×	body	640	valid
84.0ms	4098×	body	80	valid
33.0ms	613×	body	320	valid
11.0ms	301×	body	160	valid